body of 10 patients. The data are below:

Weight: 53.5 58.4 59.2 53.2 64 57.5 67 66 77 66

BMI: 21.98 23.3922.8420.27 23.51 19.4422.3921.8024.0320.37

a. Evaluate the correlation between Weight (X) and BMI,(Y) graphically and by Pearson's linear correlation coefficient. interpret the results

b)Calculate the variance of Weight and BMI. What does this measure mean?

c. Calculate the Covariance between Weight and BMI

d. Find the simple linear model that best fits the data. Y = a+bX

e. Plot the regression model on the scatter plot

.f) For a person weighing 80 kg, what would be the BMI estimated by the model regression?

g) Why will the variance always be a non-negative value?